Shrinking Ricci solitons with positive isotropic curvature

We show that in dimensions $n\ge 12$, a non-flat complete gradient shrinking solitons with uniformly positive isotropic curvature (PIC) must be a quotient of either the round sphere $S^n$ or the cylinder $S^{n-1} \times $\mathbb{R}$$\mathrm{.}Wealsoobservethatindimensions$n \geq 5$, a complete gradient shrinking soliton that is strictly PIC and weakly PIC2 must be a quotient of either the round sphere $S^n$ or the cylinder $S^{n-1}\times \mathbb{R}$.